A388572 Decimal expansion of (1/8) * exp(Pi / 2) * Pi / Gamma(3/4)^4.

8, 3, 7, 7, 4, 6, 9, 9, 8, 8, 5, 3, 1, 2, 3, 8, 4, 5, 1, 2, 8, 6, 0, 8, 6, 0, 2, 8, 9, 8, 3, 4, 4, 2, 3, 1, 2, 6, 0, 1, 9, 6, 1, 7, 9, 9, 6, 0, 7, 0, 4, 7, 8, 3, 6, 2, 3, 5, 9, 3, 6, 3, 0, 8, 7, 2, 0, 9, 4, 4, 9, 5, 3, 8, 1, 8, 6, 1, 2, 8, 8, 5, 4, 8, 5, 5, 0

Offset

0,1

Links

Table of n, a(n) for n=0..86.

Simon Plouffe, Numbers in the base e^Pi, 2025.

Formula

Empirical: Equals Sum_{k>=0} A121613(k) / exp(k*Pi).

Example

0.83774699885312384512860860289834423126...

Mathematica

First[RealDigits[(32*Pi*Exp[Pi/2])/Gamma[-1/4]^4, 10, 100]]

Prog

(PARI) (1/8) * exp(Pi / 2) * Pi / gamma(3/4)^4

Crossrefs

Cf. A121613.

Sequence in context: A382576 A358939 A033990 * A248190 A388325 A099284

Adjacent sequences: A388569 A388570 A388571 * A388573 A388574 A388575

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved